Question

You have a perfectly circular apple pie with a radius of 15cm. You cut the pie into 12 approximately equal slices. What is the arc length (linear length) and angular displacement of each slice's crust?

Answer 1

7.85 cm

30 degree

Step-by-step explanation:

As we know that that the angular displacement in one turn is 360 degree.

As there are 12 parts which are equally divided so the angle turn by each part is

= 360 / 12 = 30 degree

Thus, the angular displacement of each slice is 30 degree.

Radius of pie = 15 cm

Circumference of pie = 2 x 3.14 x 15 = 94.2 cm

Arc length for complete 360 degree = 94.2 cm

Arc length for 30 degree turn = 94.2 x 30 / 360 = 7.85 cm